Article
An overview on the Prus-Szczepanik condition
Author/s | Hernández Linares, Carlos Alberto
Llorens Fuster, Enrique Mazcuñán Navarro, Eva María Muñiz Pérez, Omar |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2014-12 |
Deposit Date | 2016-06-22 |
Published in |
|
Abstract | In 2005 Prus and Sczcepanik introduced a large class of Banach spaces with the fixed point property for nonexpansive mappings. We say that this class satisfies the PSz condition. Checking that a given Banach space belongs ... In 2005 Prus and Sczcepanik introduced a large class of Banach spaces with the fixed point property for nonexpansive mappings. We say that this class satisfies the PSz condition. Checking that a given Banach space belongs to this class is not an easy task. Here we study the relationship between the PSz condition and other well-known geometrical properties of Banach spaces, and we give easier sufficient conditions for a Banach space to satisfy it. |
Funding agencies | Consejo Nacional de Ciencia y Tecnología (CONACYT). México Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2012-34847-C02-02 |
Citation | Hernández Linares, C.A., Llorens Fuster, E., Mazcuñán Navarro, E.M. y Muñiz Pérez, O. (2014). An overview on the Prus-Szczepanik condition. Fixed Point Theory and Applications, 2014, 1-14. |
Files | Size | Format | View | Description |
---|---|---|---|---|
An overview on the Prus-Szczepanik ... | 287.2Kb | [PDF] | View/ | |